Answer:
Step-by-step explanation:
Show that if 3x – 7 = 5, then x = 4.
Here, our given statement is 3x – 7 = 5, and we're asked to prove x = 4.
x=4
Statements Reasons
1. 3x – 7 = 5 Given
2. 3x – 7 + 7 = 5 + 7 Addition of 7 to equation (1)
3. 3x + 0 = 5 + 7 Substitution of –7 + 7 = 0 into (2)
4. 3x = 5 + 7 Substitution of 3x + 0 = 3x into (3)
5. 3x = 12 Substitution of 5 + 7 = 12 into (4)
6. 3x⁄3 = 12⁄3 Dividing equation (5) by 3
7. x = 12⁄3 Substitution of 3x⁄3 = x into (6)
8. x = 4 Substitution of 12⁄3 = 4 into (7)
Is there such a thing as being too descriptive? Yep, and that was it, since over half the proof was devoted to telling the reader how to do arithmetic. We'll typically take numerical computation for granted, and write proofs like this:
Sam is a cashier at the local grocery store. He earns $8/hr and works there 10 hours per
week. Every week, he puts 75% of his money in a savings account so he can reach his goal
of having $1,000 as an emergency fund. School is starting in a few weeks and he wants to
buy some new supplies including a backpack, pens and notebooks, and more. He
estimates the total will be about $75.
T
Answer:
A. $80
B. $60
C. 4 Weeks
D. Sam might have to work more at his work or possibly lower the amount of money he needs to save.
Step-by-step explanation:
Hope this Helps!!
The number of weeks taken by Sam to save enough money is 17 weeks.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
a) Money Sam earns in one week = Money paid per hour * Number of hours per week
= 8×10
= $80
b) Money saved every week is
75% of 80
= 75/100 ×80
= 0.75×80
= $60
c) He can reach his goal of having $1,000 as an emergency fund.
Let the number of weeks taken by Sam to save enough money be x.
Now, 60x=1000
x=1000/60
x=17 weeks
d) School is starting in a few weeks and he wants to buy some new supplies including a backpack, pens and notebooks, and more.
He estimates the total will be about $75.
So, Sam has to work one week extra to purchase his needs for school.
Therefore, the number of weeks taken by Sam to save enough money is 17 weeks.
To learn more about the percentage visit:
brainly.com/question/24159063.
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A sports company randomly sends out various cards of 8 different sports.
How could this simulation be used to determine the sport of the next 20 cards the company sends out?
a.
Survey 20 people about their favorite sport.
b.
Repeat the flipping the coin 3 times simulation 20 times.
c.
Repeat the drawing a marble simulation 20 times.
d.
Repeat the spinning a spinner simulation 20 times.
Answer:
D
Step-by-step explanation:
Taylor had a bag of 28 marbles. 5 red, 9 blue, 8 yellow, and 6 black. If Taylor pulled out a yellow one and DID NOT put it back in. What is the
probability of pulling out a blue marble (SIMPLIFY YOUR FRACTION).
Blank 1:
Blank 2:
Answer: 1/3
Step-by-step explanation:
Number of red marbles = 5
Number of blue marbles = 9
Number of yellow marbles = 8
Number of and black marbles = 6
Total number of marbles = 28
If Taylor pulled out a yellow one and didn't replce it, there'll be 27 marbles left since one has been removed, then the probability of picking blue marbles will be:
= Number of blue marbles / Total marbles
= 9 / 27
= 1/3
The probability of picking a blue marble is 1/3.
Tansy has 4 different pieces of fruit in a bag . She pulls the pieces out one at a time. In how many different orders could tansy pull the fruit out of the bag
Answer:
24
Step-by-step explanation:
4!
! represents multiplying all the numbers behind
4*3*2*1=24
Some parents will drive 17 children to summer camp. Each parent can fit 4 children in a car.
What is the fewest number of parents needed to drive all the children?
Answer:
5
Step-by-step explanation:
According to the graph, which of the following is true? Half of each day is taken up by sleeping and eating. School and homework take up over half of a day. The total time spent on chores and homework is greater than the amount of free time. The smallest part of a day is spent at school.
Answer:
Half of each day is taken up by sleeping and eating.
Step-by-step explanation:
Answer:
I had this question it was very easy it is C. The total time spent on chores and homework is greater than the amount of free time.
Step-by-step explanation:
Question 11
125
C
15
Oo
$15
I’m
Answer:
Yes, the answer you chose is correct.
helpppp plss:)))))))
(the answer is not c though)
The population of village increases by 2% every year. The current population is 1000. What will be the population after 2 years?
Answer:
1040 approx
Step-by-step explanation:
Given data
Rate = 2%
Population= 1000
Time = 2 years
We can apply the expression below to find the population after 2 years
A= P(1+r)^t
Substitute
A= 1000(1+0.02)^2
A=1000(1.02)^2
A=1000*1.0404
A=1040.4
Hence the population is 1040 approx
Solve the linear equation: 5 - x = (x/2)
Hi
5-x = (x/2)
5 = (x/2) +x
10 = x+2x
10 = 3x
10/3 = x
let's check :
5- 10/3 = 15/3 -10/3 = 5/3
(10/3) /2 =10/3 * 1/2 = 10/6 = 5*2/3*2 = 5/3
20/3=2(w+2/3)
What’s the value of w
Answer: w=8/3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
20 /3 =2(w+ ( 2 /3 )
20 /3 =(2)(w)+(2)( 2 /3 )(Distribute)
20 /3 =2w+ 4 /3
Step 2: Flip the equation.
2w+ 4 /3 = 20 /3
Subtract 4/3 from each side: 2w+ 4 /3 − 4 /3 = 20 /3 − 4 /3
Divide both sides by 2: 2w/ 2 =16 3 /2
Answer w=8/3
Answer:
w=8/3
Step-by-step explanation:
Find volume of rectangular prism 18ft,12ft,16ft
.
Answer:
The volume of the rectangular prism is [tex]3456ft^2[/tex].
Step-by-step explanation:
18 * 12 * 16 = [tex]3456ft^2[/tex]
Whoever answers correctly without adding NO FILES OR LINKS gets brainliest
Answer:
D
Step-by-step explanation:
because i see it xD but like > 15 mean you going to the left soooo and u got to satrt at 15
Suppose the circumference of a circle is 6 pi. What is its diameter?
Answer:
the ans is 12
Step-by-step explanation:
C= RadiusxPi
Radius=6
D=Rx2
D=12
(hope this helps can i plz have brainlist :D hehe)
Find the mean of the following data set
73, 81, 51, 76, 89, 95, 88
Answer:
[tex]mean = \frac{(73 + 81 + 51 + 76 + 89 + 95 + 88)}{7} \\ = 79[/tex]
Answer:
79
Step-by-step explanation:
What is mean? The mean is the same as an average. To find the mean, add all the letters together. Then, divide this sum by the total amount of numbers.
Step One: 73+ 81+51 +76+ 89+ 95+88= 553
Step Two: Divide by numbers, in this case, there are 7: 553/7= 79.
There you go!
∠A and \angle B∠B are supplementary angles. If m\angle A=(2x+10)^{\circ}∠A=(2x+10) ∘ and m\angle B=(2x+2)^{\circ}∠B=(2x+2) ∘ , then find the measure of \angle A∠A.
Answer:767
hh
Step-by-step explanation:
ggfhgjgfhvff
h k
hgh j
gvjhg878
y7uy
8768
87
what is 4 to the third + 7
Answer:
71
Step-by-step explanation:
I hope this helps u! :D
Answer:
71
Step-by-step explanation:
4 to the third = 4 x 4 x 4 = 64
64 + 7 = 71
Find the solution for the system of equations using substitution.
Answer:
x= 7/3
Step-by-step explanation:
y=2x+5
5x-2=2x+5
transfer 2x to the left side and -2 to the right side you get
5x-2x=2+5
as it transfers the sign changes
3x=7
x=7/3
Need help getting the answer to the question below.
Answer:
.0065
Step-by-step explanation:
You move the decimal backwards 3 times
Answer:
The answer is 0.0065
Step-by-step explanation:
Hope it will help you...
Solve the equation by graphing. x^2-7x+12=0
Answer:
the answer is GH mm djmwshdnsnda
Please please ASAP ASAP please ASAP thank you so much please
No links or files please
Answer:
(0, 3)
Step-by-step explanation:
Y axis changes and x axis stays the same
Jesse sent an email to 4 people for a school project. In her email, she requested
that each person copy and send the same email to 4 additional people.
If everyone continues to send the email as requested, which equation could be
used to determine the number of emails, y, that will be sent for a given round, x?
M. y = x^4
P.y = 4^x
R. y = 4x
a. y= 4/x
Answer:
P.y = [tex]4^{x}[/tex]
Step-by-step explanation:
From the given question, since Jesse sends the email to 4 people and the 4 people rebroadcast it to another 4 persons each. And this process continues for a required or given round x, then this is an example of an exponential function.
Thus, the number of emails sent for a given round can be expressed as;
y = [tex]4^{x}[/tex]
Therefore, the appropriate answer is y = [tex]4^{x}[/tex].
So that for four rounds (x = 4), the number of emails sent can be determined as;
y = [tex]4^{x}[/tex]
= [tex]4^{4}[/tex]
y = 256
Answer: y=4^x
Step-by-step explanation:
Exponential growth
Y=ab^x
Find the GCF of 4x3and7x5
Answer:
GCF of 4 x 3 should be 1
GCF of 7 x 5 should also be 1
Hope this helps, and sorry if it is incorrect, there isn't very much context to this question!
Branliest For Correct answer
Please I need help
Factor Completely
a^2 - a - 20
Answer:
[tex]\left(a+4\right)\left(a-5\right)[/tex]
Step-by-step explanation:
Break the expression into groups.
=(a^2+4a)+(−5a−20)
Factor out a from a2+4a: a(a+4)
Factor out −5 from −5a−20: −5(a+4)
=a(a+4)−5(a+4)
find the product and reduce to lowest terms 4/9 x 18
Answer:
8
Step-by-step explanation:
its cuuz it is
Answer:
x = 8
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4/9-(x/18)=0
Step by step solution :
STEP
1
:
x
Simplify ——
18
Equation at the end of step
1
:
4 x
— - —— = 0
9 18
STEP
2
:
4
Simplify —
9
Equation at the end of step
2
:
4 x
— - —— = 0
9 18
STEP
3
:
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : 9
The right denominator is : 18
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
3 2 2 2
2 0 1 1
Product of all
Prime Factors 9 18 18
Least Common Multiple:
18
Calculating Multipliers :
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 2
Right_M = L.C.M / R_Deno = 1
Making Equivalent Fractions :
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 4 • 2
—————————————————— = —————
L.C.M 18
R. Mult. • R. Num. x
—————————————————— = ——
L.C.M 18
Adding fractions that have a common denominator :
3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
4 • 2 - (x) 8 - x
——————————— = —————
18 18
Equation at the end of step
3
:
8 - x
————— = 0
18
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
8-x
——— • 18 = 0 • 18
18
Now, on the left hand side, the 18 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
8-x = 0
Solving a Single Variable Equation:
4.2 Solve : -x+8 = 0
Subtract 8 from both sides of the equation :
-x = -8
Multiply both sides of the equation by (-1) : x = 8
One solution was found :
x = 8
solve for x: 2x^2 + 3x = 2
solving other quadratic equation by factoring
Answer: x=1/2,-2
not sure if that is what you need
Step-by-step explanation:
Suppose a study estimated that 61% of the residents of a community (with an
error range of 18 percentage points at 95% confidence) favor replacing the
playground equipment. Which of the following percentages of the
community's residents may favor replacing the playground equipment?
A. 82%
B. 54%
C. 72%
D. 95%
Finding the confidence interval, it is found that the percentages of residents that may favor replacing the equipment is be given by:
B. 54%.
What is a confidence interval?The interval is given by the estimate plus/minus the margin of error. The range is twice the margin of error.
In this problem, we have that:
The estimate is of 61%.Since the range is of 18%, the margin of error is of 9%.Hence the interval is given by:
(61% - 9%, 61% + 9%) = (52%, 70%).
Each of the values in the interval can be the percentage, hence option B is correct.
More can be learned about confidence intervals at https://brainly.com/question/15712887
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What are the zeros of f(x) = x(x - 9)?
A. X= 0 and x= -9
B. x = 9 only
C. x = 0 only
D. x= 0 and x = 9
Neeed help ASAP!!!
Answer:
D
Step-by-step explanation:
f(x) =x(x-9)
X(x-9)=0
X2-9x=0
X2-9x+0=0
(X2-9X)
x(x-9)=0
X-9=0
X=9
X+0=0
X=0
If you were asked to round the number 9.6173 to the nearest hundredths place, how many digits would you have after the decimal point?
Answer: I don't think you would move it
Step-by-step explanation: let me know if I'm wrong
I need ur Helppppp ASAP plssss
Answer:
50 I believe
Step-by-step explanation:
Sorry if I'm wrong!
Answer:
84.78
Step-by-step explanation: